Factor completely and show work

1. t^6 - 64

2. y² + 5y - 84

3.18x^4 - 72x²

4.9p² - 54p + 72

5. (x^2 - x - 6) / (x^2 - 9)

2. The ratio of clown fish to angel fish at a pet store is 5:4. The ratio of angel fish to goldfish is 4:3. There are 60 clown fish at the pet store: a. How many angel fish are there? b. How many goldfish are there?

Evaluate the expression. 11 + 62 - (-3) - 7

Solve 2a + 3c = 17a - 21 for c

a scale model of a building is 12 inches tall. The actual building is 160 feet tall. what is the scale factor of the model.

Find the equation of the line that passes through (-5,4) and (1,1)

Using the greatest common factor for the terms, how can you write 80 + 32 as a product? A) 4 (20 + 8) B) 8 (10 + 4) C) 16 (5 + 2) D) 18 (4 + 2)

Factor the polynomial. 2x3 + 4x2 + 8x A. 2x (x2 + 2x + 4) B. x (2x2 + 4x + 8) C. 2x3 + 4x2 + 8x D. 2x2 (x + 2x + 4)

Combine terms: 12a + 26b - 4b - 16a. (a) 4a + 22b, (b) - 28a + 30b, (c) - 4a + 22b, (d) 28a + 30b. Solution: 12a + 26b - 4b - 16a. = 12a - 16a + 26b - 4b. = - 4a + 22b.

Sue wrote the number 43,671. jack also wrote a 5 digit number. Jack's number has only one 3 in it. the 3 in jack's number is worth 10 times as much as the 3 in sue's number. write two different numbers that jack could have written.

A beekeeper's hives are making Honey at a constant rate. The profit from honey can be represented by the equation P (t) = - 16t^2 + 2050t + 150, where t is the time in days and P (t) is the profit the beekeeper receives.